01 - Preheat oven to 400°F. Line a 10x15-inch rimmed baking sheet with parchment paper or lightly grease with butter.
02 - In a large bowl, whisk together flour, sugar, and salt. Cut in cold butter using a pastry blender or until coarse crumbs form. Gradually add ice water, mixing just until dough holds together. Divide dough into two portions, making one slightly larger.
03 - On a lightly floured surface, roll out the larger dough portion to fit the bottom and sides of the prepared baking sheet. Carefully transfer dough to pan and press evenly into place.
04 - In a large bowl, combine sliced apples, granulated sugar, brown sugar, cinnamon, nutmeg, salt, cornstarch, and lemon juice. Toss thoroughly until apples are evenly coated.
05 - Spread apple mixture evenly over the bottom crust. Roll out remaining dough and place over apples. Trim excess dough, pinch edges to seal, and cut several small slits in top crust for steam venting.
06 - Whisk egg with milk until combined. Brush mixture evenly over top crust using a pastry brush. Sprinkle with coarse sugar if desired.
07 - Bake for 35 to 40 minutes until crust is deep golden brown and filling is bubbling actively through vent slits.
08 - Let pie cool for at least 30 minutes to allow filling to set. Slice into squares and serve warm or at room temperature.